*-multilinear polynomials with invertible values
ℵ-products of modules and splitness.
Let0 → ∏ℵI Mα ⎯λ→ ∏I Mα ⎯γ→ Coker λ → 0 be an exact sequence of modules, in which ℵ is an infinite cardinal, λ the natural injection and γ the natural surjection. In this paper, the conditions are given mainly in the four theorems so that λ (γ respectively) is split or locally split. Consequently, some known results are generalized. In particular, Theorem 1 of [7] and Theorem 1.6 of [5] are improved.
...-projektive Moduln.
...-Ringstrukturen auf dem Burnsidering der Permutationsdarstellungen einer endlichen Gruppe.
...-semiperfekte und ...-perfekte Moduln.
(Strongly) Gorenstein injective modules over upper triangular matrix Artin algebras
Let be an Artin algebra. In view of the characterization of finitely generated Gorenstein injective -modules under the condition that is a cocompatible -bimodule, we establish a recollement of the stable category . We also determine all strongly complete injective resolutions and all strongly Gorenstein injective modules over .
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-modules and generalized submodules
A QTAG-module is an -module, where is a limit ordinal, if is totally projective for every ordinal . In the present paper -modules are studied with the help of -pure submodules, -basic submodules, and -large submodules. It is found that an -closed -module is an -injective. For any ordinal we prove that an -large submodule of an -module is summable if and only if is summable.
-endomorphism near-rings.
-small submodules and -supplemented modules.
-Minkowski spacetimes and DSR algebras: fresh look and old problems.
and -dimensions of modules
-чистота модулей над кольцом дискретных нормированний.
λ-complete near-rings
Λ-modules and holomorphic Lie algebroid connections
Let X be a complex smooth projective variety, and G a locally free sheaf on X. We show that there is a one-to-one correspondence between pairs (Λ, Ξ), where Λ is a sheaf of almost polynomial filtered algebras over X satisfying Simpson’s axioms and is an isomorphism, and pairs (L, Σ), where L is a holomorphic Lie algebroid structure on and Σ is a class in F 1 H 2(L, ℂ), the first Hodge filtration piece of the second cohomology of L. As an application, we construct moduli spaces of semistable...
-extensions of discrete multivalued groups.
-semisimple rings.
-supplemented modules and -weakly supplemented modules
Given a hereditary torsion theory in Mod-, a module is called -supplemented if every submodule of contains a direct summand of with torsion. A submodule of is called -supplement of in if and and is -weakly supplemented if every submodule...